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Finding the Third Proportional to 820,860,996 and 1,805,892,572

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Solution

The third proportional to 820,860,996 and 1,805,892,572 is: 3,972,960,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,860,996 : 1,805,892,572 = 1,805,892,572 : x
  2. Step 2: Convert to fraction form
    820,860,996/1,805,892,572 = 1,805,892,572/x
  3. Step 3: Cross multiply
    820,860,996x = 1,805,892,572 × 1,805,892,572
  4. Step 4: Simplify right side
    820,860,996x = 3,261,247,981,604,775,424
  5. Step 5: Solve for x
    x = 3,261,247,981,604,775,424/820,860,996
  6. Step 6: Final answer
    x = 3,972,960,096.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.